4100597 has 2 divisors, whose sum is σ = 4100598. Its totient is φ = 4100596.

The previous prime is 4100581. The next prime is 4100611. The reversal of 4100597 is 7950014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4036081 + 64516 = 2009^2 + 254^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100597 - 2⁴ = 4100581 is a prime.

It is a super-3 number, since 3×4100597³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4100527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050298 + 2050299.

It is an arithmetic number, because the mean of its divisors is an integer number (2050299).

Almost surely, 2^4100597 is an apocalyptic number.

It is an amenable number.

4100597 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100597 is an equidigital number, since it uses as much as digits as its factorization.

4100597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 4100597 is about 2024.9930864080. The cubic root of 4100597 is about 160.0598343921.

The spelling of 4100597 in words is "four million, one hundred thousand, five hundred ninety-seven".