61662 has 16 divisors (see below), whose sum is σ = 126720. Its totient is φ = 19992.

The previous prime is 61657. The next prime is 61667. The reversal of 61662 is 26616.

It is an interprime number because it is at equal distance from previous prime (61657) and next prime (61667).

It is a nude number because it is divisible by every one of its digits.

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 61662.

It is not an unprimeable number, because it can be changed into a prime (61667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁶¹⁶⁶² is an apocalyptic number.

61662 is an abundant number, since it is smaller than the sum of its proper divisors (65058).

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 (63360).

61662 is a wasteful number, since it uses less digits than its factorization.

61662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its digits is 432, while the sum is 21.

The square root of 61662 is about 248.3183440666. The cubic root of 61662 is about 39.5068620242.

The spelling of 61662 in words is "sixty-one thousand, six hundred sixty-two".