37314 has 16 divisors (see below), whose sum is σ = 83040. Its totient is φ = 12420.

The previous prime is 37313. The next prime is 37321. The reversal of 37314 is 41373.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 14.

It is not an unprimeable number, because it can be changed into a prime (37313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (5190).

2³⁷³¹⁴ is an apocalyptic number.

37314 is an abundant number, since it is smaller than the sum of its proper divisors (45726).

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 (41520).

37314 is a wasteful number, since it uses less digits than its factorization.

37314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 37314 is about 193.1683203841. The cubic root of 37314 is about 33.4162159655.

Adding to 37314 its reverse (41373), we get a palindrome (78687).

It can be divided in two parts, 37 and 314, that added together give a triangular number (351 = T₂₆).

The spelling of 37314 in words is "thirty-seven thousand, three hundred fourteen".