90951 has 16 divisors (see below), whose sum is σ = 142848. Its totient is φ = 50400.

The previous prime is 90947. The next prime is 90971. The reversal of 90951 is 15909.

90951 = 74² + 75² + ... + 87².

It is a happy number.

90951 is nontrivially palindromic in base 13.

90951 is a nontrivial binomial coefficient, being equal to C(427, 2).

It is not a de Polignac number, because 90951 - 2² = 90947 is a prime.

90951 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90951.

It is not an unprimeable number, because it can be changed into a prime (90901) 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, 1246 + ... + 1316.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2⁹⁰⁹⁵¹ is an apocalyptic number.

90951 is the 426-th triangular number.

90951 is a deficient number, since it is larger than the sum of its proper divisors (51897).

90951 is a wasteful number, since it uses less digits than its factorization.

90951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 90951 is about 301.5808349348. The cubic root of 90951 is about 44.9713397750.

The spelling of 90951 in words is "ninety thousand, nine hundred fifty-one".