32800157 has 16 divisors (see below), whose sum is σ = 37643760. Its totient is φ = 28311552.

The previous prime is 32800153. The next prime is 32800169. The reversal of 32800157 is 75100823.

It can be written as a sum of positive squares in 8 ways, for example, as 1819801 + 30980356 = 1349^2 + 5566^2 .

It is a cyclic number.

It is not a de Polignac number, because 32800157 - 2² = 32800153 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32800153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42269 + ... + 43037.

It is an arithmetic number, because the mean of its divisors is an integer number (2352735).

Almost surely, 2^32800157 is an apocalyptic number.

It is an amenable number.

32800157 is a deficient number, since it is larger than the sum of its proper divisors (4843603).

32800157 is a wasteful number, since it uses less digits than its factorization.

32800157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 32800157 is about 5727.1421319887. The cubic root of 32800157 is about 320.1046435111.

The spelling of 32800157 in words is "thirty-two million, eight hundred thousand, one hundred fifty-seven".