90954369 has 45 divisors (see below), whose sum is σ = 153433189. Its totient is φ = 51881280.

The previous prime is 90954323. The next prime is 90954371. The reversal of 90954369 is 96345909.

It is a happy number.

The square root of 90954369 is 9537.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 28227969 + 62726400 = 5313^2 + 7920^2 .

It is not a de Polignac number, because 90954369 - 2⁹ = 90953857 is a prime.

It is a super-2 number, since 2×90954369² = 16545394480376322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90954319) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5350249 + ... + 5350265.

Almost surely, 2^90954369 is an apocalyptic number.

90954369 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

90954369 is the 9537-th square number.

90954369 is the 4769-th centered octagonal number.

It is an amenable number.

90954369 is a deficient number, since it is larger than the sum of its proper divisors (62478820).

90954369 is an equidigital number, since it uses as much as digits as its factorization.

90954369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The cubic root of 90954369 is about 449.7189504317.

It can be divided in two parts, 909 and 54369, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 90954369 in words is "ninety million, nine hundred fifty-four thousand, three hundred sixty-nine".