91962 has 32 divisors (see below), whose sum is σ = 221760. Its totient is φ = 28080.

The previous prime is 91961. The next prime is 91967. The reversal of 91962 is 26919.

It is a happy number.

It is a super-3 number, since 3×91962³ = 2333170507467384, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91962.

It is not an unprimeable number, because it can be changed into a prime (91961) 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, 637 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁹¹⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

91962 is an abundant number, since it is smaller than the sum of its proper divisors (129798).

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

91962 is a wasteful number, since it uses less digits than its factorization.

91962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 91962 is about 303.2523701474. The cubic root of 91962 is about 45.1373580791.

The spelling of 91962 in words is "ninety-one thousand, nine hundred sixty-two".