40597 has 2 divisors, whose sum is σ = 40598. Its totient is φ = 40596.

The previous prime is 40591. The next prime is 40609. The reversal of 40597 is 79504.

40597 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 196 = 201^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 40597 - 2¹⁵ = 7829 is a prime.

40597 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20298 + 20299.

It is an arithmetic number, because the mean of its divisors is an integer number (20299).

2⁴⁰⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

40597 is a deficient number, since it is larger than the sum of its proper divisors (1).

40597 is an equidigital number, since it uses as much as digits as its factorization.

40597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 40597 is about 201.4869722836. The cubic root of 40597 is about 34.3688220302.

The spelling of 40597 in words is "forty thousand, five hundred ninety-seven".