37089 has 12 divisors (see below), whose sum is σ = 57876. Its totient is φ = 22752.

The previous prime is 37087. The next prime is 37097. The reversal of 37089 is 98073.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3600 + 33489 = 60^2 + 183^2 .

It is not a de Polignac number, because 37089 - 2¹ = 37087 is a prime.

37089 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37089.

It is not an unprimeable number, because it can be changed into a prime (37087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (4823).

2³⁷⁰⁸⁹ is an apocalyptic number.

37089 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

37089 is a deficient number, since it is larger than the sum of its proper divisors (20787).

37089 is a wasteful number, since it uses less digits than its factorization.

37089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 37089 is about 192.5850461484. The cubic root of 37089 is about 33.3489149375.

The spelling of 37089 in words is "thirty-seven thousand, eighty-nine".