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83401 is a prime number
BaseRepresentation
bin10100010111001001
311020101221
4110113021
510132101
61442041
7465103
oct242711
9136357
1083401
115772a
1240321
132bc66
1422573
1519aa1
hex145c9

83401 has 2 divisors, whose sum is σ = 83402. Its totient is φ = 83400.

The previous prime is 83399. The next prime is 83407. The reversal of 83401 is 10438.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 7225 = 276^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 83401 - 21 = 83399 is a prime.

Together with 83399, it forms a pair of twin primes.

83401 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (83407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41700 + 41701.

It is an arithmetic number, because the mean of its divisors is an integer number (41701).

283401 is an apocalyptic number.

It is an amenable number.

83401 is a deficient number, since it is larger than the sum of its proper divisors (1).

83401 is an equidigital number, since it uses as much as digits as its factorization.

83401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 83401 is about 288.7923129171. The cubic root of 83401 is about 43.6908424939.

Adding to 83401 its reverse (10438), we get a palindrome (93839).

It can be divided in two parts, 83 and 401, that added together give a palindrome (484).

The spelling of 83401 in words is "eighty-three thousand, four hundred one".