61292 has 24 divisors (see below), whose sum is σ = 134400. Its totient is φ = 23760.

The previous prime is 61291. The next prime is 61297. The reversal of 61292 is 29216.

61292 = 84² + 85² + ... + 91².

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (61291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2⁶¹²⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200).

61292 is an abundant number, since it is smaller than the sum of its proper divisors (73108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61292 is a wasteful number, since it uses less digits than its factorization.

61292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 61292 is about 247.5722116878. The cubic root of 61292 is about 39.4276837399.

It can be divided in two parts, 61 and 292, that added together give a palindrome (353).

The spelling of 61292 in words is "sixty-one thousand, two hundred ninety-two".