83641401 has 24 divisors (see below), whose sum is σ = 127657920. Its totient is φ = 52625376.

The previous prime is 83641387. The next prime is 83641403. The reversal of 83641401 is 10414638.

It is not a de Polignac number, because 83641401 - 2¹⁵ = 83608633 is a prime.

It is a super-2 number, since 2×83641401² = 13991767922485602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83641403) 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 23 ways as a sum of consecutive naturals, for example, 53436 + ... + 54978.

It is an arithmetic number, because the mean of its divisors is an integer number (5319080).

Almost surely, 2^83641401 is an apocalyptic number.

It is an amenable number.

83641401 is a deficient number, since it is larger than the sum of its proper divisors (44016519).

83641401 is a wasteful number, since it uses less digits than its factorization.

83641401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83641401 is about 9145.5672869429. The cubic root of 83641401 is about 437.3278142558.

The spelling of 83641401 in words is "eighty-three million, six hundred forty-one thousand, four hundred one".