83634057 has 36 divisors (see below), whose sum is σ = 135446220. Its totient is φ = 49375872.

The previous prime is 83634017. The next prime is 83634059. The reversal of 83634057 is 75043638.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12467961 + 71166096 = 3531^2 + 8436^2 .

It is a de Polignac number, because none of the positive numbers 2^k-83634057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83634059) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532623 + ... + 532779.

It is an arithmetic number, because the mean of its divisors is an integer number (3762395).

Almost surely, 2^83634057 is an apocalyptic number.

83634057 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

83634057 is a deficient number, since it is larger than the sum of its proper divisors (51812163).

83634057 is a wasteful number, since it uses less digits than its factorization.

83634057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 83634057 is about 9145.1657721443. The cubic root of 83634057 is about 437.3150142571.

The spelling of 83634057 in words is "eighty-three million, six hundred thirty-four thousand, fifty-seven".