61216 has 12 divisors (see below), whose sum is σ = 120582. Its totient is φ = 30592.

The previous prime is 61211. The next prime is 61223.

61216 is nontrivially palindromic in base 10.

61216 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 only one way, i.e., 41616 + 19600 = 204^2 + 140^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61216.

It is not an unprimeable number, because it can be changed into a prime (61211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 925 + ... + 988.

2⁶¹²¹⁶ is an apocalyptic number.

It is an amenable number.

61216 is a deficient number, since it is larger than the sum of its proper divisors (59366).

61216 is a wasteful number, since it uses less digits than its factorization.

61216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1915 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 61216 is about 247.4186735071. The cubic root of 61216 is about 39.4113806697.

The spelling of 61216 in words is "sixty-one thousand, two hundred sixteen".