90057121 has 32 divisors (see below), whose sum is σ = 118204416. Its totient is φ = 66528000.

The previous prime is 90057119. The next prime is 90057133. The reversal of 90057121 is 12175009.

It is not a de Polignac number, because 90057121 - 2¹ = 90057119 is a prime.

It is a super-2 number, since 2×90057121² = 16220570085617282, which contains 22 as substring.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (90057161) 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 31 ways as a sum of consecutive naturals, for example, 373561 + ... + 373801.

It is an arithmetic number, because the mean of its divisors is an integer number (3693888).

Almost surely, 2^90057121 is an apocalyptic number.

It is an amenable number.

90057121 is a deficient number, since it is larger than the sum of its proper divisors (28147295).

90057121 is a wasteful number, since it uses less digits than its factorization.

90057121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 90057121 is about 9489.8430440129. The cubic root of 90057121 is about 448.2352628721.

It can be divided in two parts, 900 and 57121, that multiplied together give a square (51408900 = 7170²).

The spelling of 90057121 in words is "ninety million, fifty-seven thousand, one hundred twenty-one".