61937 has 4 divisors (see below), whose sum is σ = 62436. Its totient is φ = 61440.

The previous prime is 61933. The next prime is 61949. The reversal of 61937 is 73916.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 6241 = 236^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 61937 - 2² = 61933 is a prime.

It is a Duffinian number.

61937 is an undulating number in base 16.

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 61937.

It is not an unprimeable number, because it can be changed into a prime (61933) 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, 113 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (15609).

2⁶¹⁹³⁷ is an apocalyptic number.

It is an amenable number.

61937 is a deficient number, since it is larger than the sum of its proper divisors (499).

61937 is a wasteful number, since it uses less digits than its factorization.

61937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498.

The product of its digits is 1134, while the sum is 26.

The square root of 61937 is about 248.8714527623. The cubic root of 61937 is about 39.5655057917.

It can be divided in two parts, 619 and 37, that added together give a palindrome (656).

The spelling of 61937 in words is "sixty-one thousand, nine hundred thirty-seven".