77534101 has 2 divisors, whose sum is σ = 77534102. Its totient is φ = 77534100.

The previous prime is 77534099. The next prime is 77534123. The reversal of 77534101 is 10143577.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40640625 + 36893476 = 6375^2 + 6074^2 .

It is a cyclic number.

It is not a de Polignac number, because 77534101 - 2¹ = 77534099 is a prime.

Together with 77534099, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 77534101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77534701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38767050 + 38767051.

It is an arithmetic number, because the mean of its divisors is an integer number (38767051).

Almost surely, 2^77534101 is an apocalyptic number.

It is an amenable number.

77534101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77534101 is an equidigital number, since it uses as much as digits as its factorization.

77534101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 77534101 is about 8805.3450244724. The cubic root of 77534101 is about 426.4134733008.

Adding to 77534101 its reverse (10143577), we get a palindrome (87677678).

The spelling of 77534101 in words is "seventy-seven million, five hundred thirty-four thousand, one hundred one".