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1007397 = 3412437
BaseRepresentation
bin11110101111100100101
31220011220000
43311330211
5224214042
633331513
711364006
oct3657445
91804800
101007397
11628966
12406b99
132936c1
141c31ad
1514d74c
hexf5f25

1007397 has 10 divisors (see below), whose sum is σ = 1504998. Its totient is φ = 671544.

The previous prime is 1007387. The next prime is 1007401. The reversal of 1007397 is 7937001.

It can be written as a sum of positive squares in only one way, i.e., 599076 + 408321 = 774^2 + 639^2 .

It is not a de Polignac number, because 1007397 - 24 = 1007381 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1007397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6138 + ... + 6299.

21007397 is an apocalyptic number.

It is an amenable number.

1007397 is a deficient number, since it is larger than the sum of its proper divisors (497601).

1007397 is an equidigital number, since it uses as much as digits as its factorization.

1007397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12440 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 1007397 is about 1003.6916857282. The cubic root of 1007397 is about 100.2459612015.

The spelling of 1007397 in words is "one million, seven thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 81 12437 37311 111933 335799 1007397