90782937 has 60 divisors (see below), whose sum is σ = 160148340. Its totient is φ = 51093504.

The previous prime is 90782921. The next prime is 90782959. The reversal of 90782937 is 73928709.

It can be written as a sum of positive squares in 2 ways, for example, as 60047001 + 30735936 = 7749^2 + 5544^2 .

It is not a de Polignac number, because 90782937 - 2⁴ = 90782921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90782892 and 90782901.

It is not an unprimeable number, because it can be changed into a prime (90782977) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 353113 + ... + 353369.

It is an arithmetic number, because the mean of its divisors is an integer number (2669139).

Almost surely, 2^90782937 is an apocalyptic number.

It is an amenable number.

90782937 is a deficient number, since it is larger than the sum of its proper divisors (69365403).

90782937 is a wasteful number, since it uses less digits than its factorization.

90782937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 90782937 is about 9528.0080289639. The cubic root of 90782937 is about 449.4362273180.

It can be divided in two parts, 90782 and 937, that added together give a palindrome (91719).

The spelling of 90782937 in words is "ninety million, seven hundred eighty-two thousand, nine hundred thirty-seven".