61642 has 24 divisors (see below), whose sum is σ = 116964. Its totient is φ = 24192.

The previous prime is 61637. The next prime is 61643. The reversal of 61642 is 24616.

61642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 8281 = 231^2 + 91^2 .

It is not an unprimeable number, because it can be changed into a prime (61643) 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, 1648 + ... + 1684.

2⁶¹⁶⁴² is an apocalyptic number.

61642 is a deficient number, since it is larger than the sum of its proper divisors (55322).

61642 is a wasteful number, since it uses less digits than its factorization.

61642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 63 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 61642 is about 248.2780699136. The cubic root of 61642 is about 39.5025902270.

It can be divided in two parts, 61 and 642, that added together give a triangular number (703 = T₃₇).

The spelling of 61642 in words is "sixty-one thousand, six hundred forty-two".