37401 has 16 divisors (see below), whose sum is σ = 61824. Its totient is φ = 19584.

The previous prime is 37397. The next prime is 37409. The reversal of 37401 is 10473.

37401 is a nontrivial binomial coefficient, being equal to C(274, 2).

It is not a de Polignac number, because 37401 - 2² = 37397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37409) 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, 205 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (3864).

2³⁷⁴⁰¹ is an apocalyptic number.

37401 is the 273-rd triangular number and also the 137-th hexagonal number.

It is an amenable number.

37401 is a deficient number, since it is larger than the sum of its proper divisors (24423).

37401 is a wasteful number, since it uses less digits than its factorization.

37401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 37401 is about 193.3933814793. The cubic root of 37401 is about 33.4421664958.

Adding to 37401 its reverse (10473), we get a palindrome (47874).

It can be divided in two parts, 3740 and 1, that added together give a triangular number (3741 = T₈₆).

The spelling of 37401 in words is "thirty-seven thousand, four hundred one".