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312989 is a prime number
BaseRepresentation
bin1001100011010011101
3120220100012
41030122131
540003424
610413005
72442335
oct1143235
9526305
10312989
111a4176
12131165
13ac601
14820c5
1562b0e
hex4c69d

312989 has 2 divisors, whose sum is σ = 312990. Its totient is φ = 312988.

The previous prime is 312979. The next prime is 313003. The reversal of 312989 is 989213.

312989 = 3222 + 3232 + 3242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284089 + 28900 = 533^2 + 170^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312989 is a prime.

It is a super-2 number, since 2×3129892 = 195924228242, which contains 22 as substring.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156494 + 156495.

It is an arithmetic number, because the mean of its divisors is an integer number (156495).

2312989 is an apocalyptic number.

It is an amenable number.

312989 is a deficient number, since it is larger than the sum of its proper divisors (1).

312989 is an equidigital number, since it uses as much as digits as its factorization.

312989 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 32.

The square root of 312989 is about 559.4541983040. The cubic root of 312989 is about 67.8958179741.

The spelling of 312989 in words is "three hundred twelve thousand, nine hundred eighty-nine".