77282101 has 16 divisors (see below), whose sum is σ = 90442240. Its totient is φ = 65396160.

The previous prime is 77282099. The next prime is 77282173. The reversal of 77282101 is 10128277.

It is a 3-Lehmer number, since φ(77282101) divides (77282101-1)³.

It is a cyclic number.

It is not a de Polignac number, because 77282101 - 2¹ = 77282099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77282101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77286101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2611 + ... + 12703.

It is an arithmetic number, because the mean of its divisors is an integer number (5652640).

Almost surely, 2^77282101 is an apocalyptic number.

77282101 is the 5076-th hex number.

It is an amenable number.

77282101 is a deficient number, since it is larger than the sum of its proper divisors (13160139).

77282101 is a wasteful number, since it uses less digits than its factorization.

77282101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156.

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 77282101 is about 8791.0238880349. The cubic root of 77282101 is about 425.9509979858.

The spelling of 77282101 in words is "seventy-seven million, two hundred eighty-two thousand, one hundred one".