4672597 has 2 divisors, whose sum is σ = 4672598. Its totient is φ = 4672596.

The previous prime is 4672579. The next prime is 4672607. The reversal of 4672597 is 7952764.

Together with previous prime (4672579) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4626801 + 45796 = 2151^2 + 214^2 .

It is a cyclic number.

It is not a de Polignac number, because 4672597 - 2⁷ = 4672469 is a prime.

It is an Ulam number.

4672597 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4672097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2336298 + 2336299.

It is an arithmetic number, because the mean of its divisors is an integer number (2336299).

Almost surely, 2^4672597 is an apocalyptic number.

It is an amenable number.

4672597 is a deficient number, since it is larger than the sum of its proper divisors (1).

4672597 is an equidigital number, since it uses as much as digits as its factorization.

4672597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 40.

The square root of 4672597 is about 2161.6190691239. The cubic root of 4672597 is about 167.1806881727.

The spelling of 4672597 in words is "four million, six hundred seventy-two thousand, five hundred ninety-seven".