45738957 has 32 divisors (see below), whose sum is σ = 68465664. Its totient is φ = 26928000.

The previous prime is 45738937. The next prime is 45738989. The reversal of 45738957 is 75983754.

It is not a de Polignac number, because 45738957 - 2¹⁰ = 45737933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45738937) 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 31 ways as a sum of consecutive naturals, for example, 302832 + ... + 302982.

It is an arithmetic number, because the mean of its divisors is an integer number (2139552).

Almost surely, 2^45738957 is an apocalyptic number.

It is an amenable number.

45738957 is a deficient number, since it is larger than the sum of its proper divisors (22726707).

45738957 is a wasteful number, since it uses less digits than its factorization.

45738957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 1058400, while the sum is 48.

The square root of 45738957 is about 6763.0582579185. The cubic root of 45738957 is about 357.6257259067.

It can be divided in two parts, 457389 and 57, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 45738957 in words is "forty-five million, seven hundred thirty-eight thousand, nine hundred fifty-seven".