83777401 has 2 divisors, whose sum is σ = 83777402. Its totient is φ = 83777400.

The previous prime is 83777399. The next prime is 83777413. The reversal of 83777401 is 10477738.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70644025 + 13133376 = 8405^2 + 3624^2 .

It is a cyclic number.

It is not a de Polignac number, because 83777401 - 2¹ = 83777399 is a prime.

Together with 83777399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (83177401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41888700 + 41888701.

It is an arithmetic number, because the mean of its divisors is an integer number (41888701).

Almost surely, 2^83777401 is an apocalyptic number.

It is an amenable number.

83777401 is a deficient number, since it is larger than the sum of its proper divisors (1).

83777401 is an equidigital number, since it uses as much as digits as its factorization.

83777401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 83777401 is about 9152.9995629848. Note that the first 3 decimals coincide. The cubic root of 83777401 is about 437.5647159776.

The spelling of 83777401 in words is "eighty-three million, seven hundred seventy-seven thousand, four hundred one".