61584973 has 2 divisors, whose sum is σ = 61584974. Its totient is φ = 61584972.

The previous prime is 61584857. The next prime is 61584979. The reversal of 61584973 is 37948516.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53978409 + 7606564 = 7347^2 + 2758^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61584973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61584979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30792486 + 30792487.

It is an arithmetic number, because the mean of its divisors is an integer number (30792487).

Almost surely, 2^61584973 is an apocalyptic number.

It is an amenable number.

61584973 is a deficient number, since it is larger than the sum of its proper divisors (1).

61584973 is an equidigital number, since it uses as much as digits as its factorization.

61584973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 43.

The square root of 61584973 is about 7847.6093812065. The cubic root of 61584973 is about 394.9040476222.

The spelling of 61584973 in words is "sixty-one million, five hundred eighty-four thousand, nine hundred seventy-three".