90261137 has 8 divisors (see below), whose sum is σ = 93608040. Its totient is φ = 86929920.

The previous prime is 90261121. The next prime is 90261139. The reversal of 90261137 is 73116209.

It can be written as a sum of positive squares in 4 ways, for example, as 1731856 + 88529281 = 1316^2 + 9409^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90261137 - 2⁴ = 90261121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90261139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8513 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (11701005).

Almost surely, 2^90261137 is an apocalyptic number.

It is an amenable number.

90261137 is a deficient number, since it is larger than the sum of its proper divisors (3346903).

90261137 is a wasteful number, since it uses less digits than its factorization.

90261137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 90261137 is about 9500.5861398126. The cubic root of 90261137 is about 448.5734859767.

The spelling of 90261137 in words is "ninety million, two hundred sixty-one thousand, one hundred thirty-seven".