61168041 has 45 divisors (see below), whose sum is σ = 101723853. Its totient is φ = 36602280.

The previous prime is 61168039. The next prime is 61168097. The reversal of 61168041 is 14086116.

The square root of 61168041 is 7821.

It is a perfect power (a square), and thus also a powerful number.

61168041 is a `hidden beast` number, since 611 + 6 + 8 + 0 + 41 = 666.

It is not a de Polignac number, because 61168041 - 2¹ = 61168039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61167996 and 61168014.

It is not an unprimeable number, because it can be changed into a prime (61168021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 774240 + ... + 774318.

Almost surely, 2^61168041 is an apocalyptic number.

61168041 is the 7821-st square number.

61168041 is the 3911-st centered octagonal number.

It is an amenable number.

61168041 is a deficient number, since it is larger than the sum of its proper divisors (40555812).

61168041 is an equidigital number, since it uses as much as digits as its factorization.

61168041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 61168041 is about 394.0108584363.

The spelling of 61168041 in words is "sixty-one million, one hundred sixty-eight thousand, forty-one".