61617001 has 2 divisors, whose sum is σ = 61617002. Its totient is φ = 61617000.

The previous prime is 61616957. The next prime is 61617041. The reversal of 61617001 is 10071616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38142976 + 23474025 = 6176^2 + 4845^2 .

It is a cyclic number.

It is not a de Polignac number, because 61617001 - 2⁷ = 61616873 is a prime.

It is not a weakly prime, because it can be changed into another prime (61617041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30808500 + 30808501.

It is an arithmetic number, because the mean of its divisors is an integer number (30808501).

Almost surely, 2^61617001 is an apocalyptic number.

It is an amenable number.

61617001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61617001 is an equidigital number, since it uses as much as digits as its factorization.

61617001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 61617001 is about 7849.6497374087. The cubic root of 61617001 is about 394.9724939454.

Adding to 61617001 its reverse (10071616), we get a palindrome (71688617).

The spelling of 61617001 in words is "sixty-one million, six hundred seventeen thousand, one".