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2590597 is a prime number
BaseRepresentation
bin1001111000011110000101
311212121122001
421320132011
51130344342
6131305301
731006522
oct11703605
94777561
102590597
11150a399
12a4b231
136c91c9
144b6149
153628b7
hex278785

2590597 has 2 divisors, whose sum is σ = 2590598. Its totient is φ = 2590596.

The previous prime is 2590589. The next prime is 2590633. The reversal of 2590597 is 7950952.

2590597 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1572516 + 1018081 = 1254^2 + 1009^2 .

It is a cyclic number.

It is not a de Polignac number, because 2590597 - 23 = 2590589 is a prime.

It is a super-2 number, since 2×25905972 = 13422385632818, which contains 22 as substring.

2590597 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2590507) 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, 1295298 + 1295299.

It is an arithmetic number, because the mean of its divisors is an integer number (1295299).

22590597 is an apocalyptic number.

It is an amenable number.

2590597 is a deficient number, since it is larger than the sum of its proper divisors (1).

2590597 is an equidigital number, since it uses as much as digits as its factorization.

2590597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 2590597 is about 1609.5331621312. The cubic root of 2590597 is about 137.3409201567.

The spelling of 2590597 in words is "two million, five hundred ninety thousand, five hundred ninety-seven".