91950 has 24 divisors (see below), whose sum is σ = 228408. Its totient is φ = 24480.

The previous prime is 91943. The next prime is 91951. The reversal of 91950 is 5919.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 91950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (9517).

2⁹¹⁹⁵⁰ is an apocalyptic number.

91950 is an abundant number, since it is smaller than the sum of its proper divisors (136458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114204).

91950 is a wasteful number, since it uses less digits than its factorization.

91950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

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

The square root of 91950 is about 303.2325840011. The cubic root of 91950 is about 45.1353946890.

It can be divided in two parts, 919 and 50, that added together give a palindrome (969).

The spelling of 91950 in words is "ninety-one thousand, nine hundred fifty".