90967 has 4 divisors (see below), whose sum is σ = 96336. Its totient is φ = 85600.

The previous prime is 90947. The next prime is 90971. The reversal of 90967 is 76909.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76909 = 7 ⋅10987.

It is a cyclic number.

It is not a de Polignac number, because 90967 - 2¹¹ = 88919 is a prime.

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 (90907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2659 + ... + 2692.

It is an arithmetic number, because the mean of its divisors is an integer number (24084).

2⁹⁰⁹⁶⁷ is an apocalyptic number.

90967 is a deficient number, since it is larger than the sum of its proper divisors (5369).

90967 is a wasteful number, since it uses less digits than its factorization.

90967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368.

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 90967 is about 301.6073606529. The cubic root of 90967 is about 44.9739767233.

The spelling of 90967 in words is "ninety thousand, nine hundred sixty-seven".