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30977 is a prime number
BaseRepresentation
bin111100100000001
31120111022
413210001
51442402
6355225
7156212
oct74401
946438
1030977
1121301
1215b15
131113b
14b409
1592a2
hex7901

30977 has 2 divisors, whose sum is σ = 30978. Its totient is φ = 30976.

The previous prime is 30971. The next prime is 30983. The reversal of 30977 is 77903.

It is a happy number.

It is a Cunningham number, because it is equal to 1762+1.

It is a balanced prime because it is at equal distance from previous prime (30971) and next prime (30983).

It can be written as a sum of positive squares in only one way, i.e., 30976 + 1 = 176^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 30977 - 212 = 26881 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30977.

It is not a weakly prime, because it can be changed into another prime (30971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15488 + 15489.

It is an arithmetic number, because the mean of its divisors is an integer number (15489).

It is a Proth number, since it is equal to 121 ⋅ 28 + 1 and 121 < 28.

230977 is an apocalyptic number.

It is an amenable number.

30977 is a deficient number, since it is larger than the sum of its proper divisors (1).

30977 is an equidigital number, since it uses as much as digits as its factorization.

30977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1323, while the sum is 26.

The square root of 30977 is about 176.0028408862. The cubic root of 30977 is about 31.4060355958.

The spelling of 30977 in words is "thirty thousand, nine hundred seventy-seven".