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32980313 is a prime number
BaseRepresentation
bin111110111001…
…1110101011001
32022001120111002
41331303311121
531420332223
63134514345
7550220342
oct175636531
968046432
1032980313
1117686663
12b0659b5
136aa96a2
1445470c9
152d66e28
hex1f73d59

32980313 has 2 divisors, whose sum is σ = 32980314. Its totient is φ = 32980312.

The previous prime is 32980309. The next prime is 32980349. The reversal of 32980313 is 31308923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21501769 + 11478544 = 4637^2 + 3388^2 .

It is a cyclic number.

It is not a de Polignac number, because 32980313 - 22 = 32980309 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (32980303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16490156 + 16490157.

It is an arithmetic number, because the mean of its divisors is an integer number (16490157).

Almost surely, 232980313 is an apocalyptic number.

It is an amenable number.

32980313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32980313 is an equidigital number, since it uses as much as digits as its factorization.

32980313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 32980313 is about 5742.8488574922. The cubic root of 32980313 is about 320.6896357372.

The spelling of 32980313 in words is "thirty-two million, nine hundred eighty thousand, three hundred thirteen".