37962 has 32 divisors (see below), whose sum is σ = 91200. Its totient is φ = 11664.

The previous prime is 37957. The next prime is 37963. The reversal of 37962 is 26973.

It is a super-2 number, since 2×37962² = 2882226888, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37963) by changing a digit.

37962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (2850).

2³⁷⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45600).

37962 is an abundant number, since it is smaller than the sum of its proper divisors (53238).

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

37962 is a wasteful number, since it uses less digits than its factorization.

37962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 37962 is about 194.8383945736. The cubic root of 37962 is about 33.6085437457.

It can be divided in two parts, 379 and 62, that added together give a square (441 = 21²).

The spelling of 37962 in words is "thirty-seven thousand, nine hundred sixty-two".