37540 has 12 divisors (see below), whose sum is σ = 78876. Its totient is φ = 15008.

The previous prime is 37537. The next prime is 37547. The reversal of 37540 is 4573.

37540 = T₅₁ + T₅₂ + ... + T₇₀.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 19044 = 136^2 + 138^2 .

It is an Ulam number.

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (37547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 919 + ... + 958.

It is an arithmetic number, because the mean of its divisors is an integer number (6573).

2³⁷⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

37540 is an abundant number, since it is smaller than the sum of its proper divisors (41336).

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 (39438).

37540 is a wasteful number, since it uses less digits than its factorization.

37540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 37540 is about 193.7524193397. The cubic root of 37540 is about 33.4835443054.

The spelling of 37540 in words is "thirty-seven thousand, five hundred forty".