61137 has 6 divisors (see below), whose sum is σ = 88322. Its totient is φ = 40752.

The previous prime is 61129. The next prime is 61141. The reversal of 61137 is 73116.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 20736 = 201^2 + 144^2 .

It is not a de Polignac number, because 61137 - 2³ = 61129 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (61637) 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, 3388 + ... + 3405.

2⁶¹¹³⁷ is an apocalyptic number.

It is an amenable number.

61137 is a deficient number, since it is larger than the sum of its proper divisors (27185).

61137 is a wasteful number, since it uses less digits than its factorization.

61137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799 (or 6796 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 61137 is about 247.2589735480. The cubic root of 61137 is about 39.3944197479.

The spelling of 61137 in words is "sixty-one thousand, one hundred thirty-seven".