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35397 = 341923
BaseRepresentation
bin1000101001000101
31210120000
420221011
52113042
6431513
7205125
oct105105
953500
1035397
112465a
1218599
131315b
14cc85
15a74c
hex8a45

35397 has 20 divisors (see below), whose sum is σ = 58080. Its totient is φ = 21384.

The previous prime is 35393. The next prime is 35401. The reversal of 35397 is 79353.

Subtracting 35397 from its reverse (79353), we obtain a triangular number (43956 = T296).

It is an interprime number because it is at equal distance from previous prime (35393) and next prime (35401).

It is not a de Polignac number, because 35397 - 22 = 35393 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2835) is a multiple of the sum of its prime divisors (45).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 35397.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 35397.

It is not an unprimeable number, because it can be changed into a prime (35393) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1528 + ... + 1550.

It is an arithmetic number, because the mean of its divisors is an integer number (2904).

235397 is an apocalyptic number.

It is an amenable number.

35397 is a deficient number, since it is larger than the sum of its proper divisors (22683).

35397 is a wasteful number, since it uses less digits than its factorization.

35397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 45 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 35397 is about 188.1409046433. The cubic root of 35397 is about 32.8338758675.

The spelling of 35397 in words is "thirty-five thousand, three hundred ninety-seven".

Divisors: 1 3 9 19 23 27 57 69 81 171 207 437 513 621 1311 1539 1863 3933 11799 35397