90361167 has 16 divisors (see below), whose sum is σ = 130176480. Its totient is φ = 55423872.

The previous prime is 90361163. The next prime is 90361177. The reversal of 90361167 is 76116309.

It is not a de Polignac number, because 90361167 - 2² = 90361163 is a prime.

It is a super-3 number, since 3×90361167³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90361163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8709 + ... + 16017.

It is an arithmetic number, because the mean of its divisors is an integer number (8136030).

Almost surely, 2^90361167 is an apocalyptic number.

90361167 is a deficient number, since it is larger than the sum of its proper divisors (39815313).

90361167 is a wasteful number, since it uses less digits than its factorization.

90361167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 90361167 is about 9505.8490941104. The cubic root of 90361167 is about 448.7391321665.

The spelling of 90361167 in words is "ninety million, three hundred sixty-one thousand, one hundred sixty-seven".