61322316 has 72 divisors (see below), whose sum is σ = 158865840. Its totient is φ = 18395520.

The previous prime is 61322311. The next prime is 61322323.

It is a happy number.

61322316 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (61322311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227830 + ... + 228098.

It is an arithmetic number, because the mean of its divisors is an integer number (2206470).

Almost surely, 2^61322316 is an apocalyptic number.

61322316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61322316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432920).

61322316 is an abundant number, since it is smaller than the sum of its proper divisors (97543524).

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

61322316 is a wasteful number, since it uses less digits than its factorization.

61322316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 61322316 is about 7830.8566581186. The cubic root of 61322316 is about 394.3418318871.

It can be divided in two parts, 6132 and 2316, that added together give a palindrome (8448).

The spelling of 61322316 in words is "sixty-one million, three hundred twenty-two thousand, three hundred sixteen".