37413 has 6 divisors (see below), whose sum is σ = 54054. Its totient is φ = 24936.

The previous prime is 37409. The next prime is 37423. The reversal of 37413 is 31473.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 6084 = 177^2 + 78^2 .

It is not a de Polignac number, because 37413 - 2² = 37409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2070 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2³⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

37413 is a deficient number, since it is larger than the sum of its proper divisors (16641).

37413 is a wasteful number, since it uses less digits than its factorization.

37413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4160 counting only the distinct ones).

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

The square root of 37413 is about 193.4244038378. The cubic root of 37413 is about 33.4457427200.

Adding to 37413 its reverse (31473), we get a palindrome (68886).

The spelling of 37413 in words is "thirty-seven thousand, four hundred thirteen".