61842753 has 72 divisors (see below), whose sum is σ = 112519368. Its totient is φ = 32514048.

The previous prime is 61842751. The next prime is 61842763. The reversal of 61842753 is 35724816.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 58110129 = 1932^2 + 7623^2 .

It is not a de Polignac number, because 61842753 - 2¹ = 61842751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61842751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547225 + ... + 547337.

It is an arithmetic number, because the mean of its divisors is an integer number (1562769).

Almost surely, 2^61842753 is an apocalyptic number.

61842753 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

61842753 is a deficient number, since it is larger than the sum of its proper divisors (50676615).

61842753 is a wasteful number, since it uses less digits than its factorization.

61842753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 61842753 is about 7864.0163402679. The cubic root of 61842753 is about 395.4542719992.

The spelling of 61842753 in words is "sixty-one million, eight hundred forty-two thousand, seven hundred fifty-three".