61313216 has 42 divisors (see below), whose sum is σ = 127258572. Its totient is φ = 29307520.

The previous prime is 61313201. The next prime is 61313249. The reversal of 61313216 is 61231316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 61313191 and 61313200.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 32951 + ... + 34761.

It is an arithmetic number, because the mean of its divisors is an integer number (3029966).

Almost surely, 2^61313216 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 61313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63629286).

61313216 is an abundant number, since it is smaller than the sum of its proper divisors (65945356).

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

61313216 is a wasteful number, since it uses less digits than its factorization.

61313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1836 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 61313216 is about 7830.2756017908. The cubic root of 61313216 is about 394.3223246429.

The spelling of 61313216 in words is "sixty-one million, three hundred thirteen thousand, two hundred sixteen".