90167 has 8 divisors (see below), whose sum is σ = 112512. Its totient is φ = 70200.

The previous prime is 90163. The next prime is 90173. The reversal of 90167 is 76109.

It is a happy number.

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 90167 - 2² = 90163 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509 + ... + 662.

It is an arithmetic number, because the mean of its divisors is an integer number (14064).

2⁹⁰¹⁶⁷ is an apocalyptic number.

90167 is a deficient number, since it is larger than the sum of its proper divisors (22345).

90167 is a wasteful number, since it uses less digits than its factorization.

90167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 90167 is about 300.2782043372. The cubic root of 90167 is about 44.8417486572.

The spelling of 90167 in words is "ninety thousand, one hundred sixty-seven".