77001 has 4 divisors (see below), whose sum is σ = 102672. Its totient is φ = 51332.

The previous prime is 76991. The next prime is 77003. The reversal of 77001 is 10077.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10077 = 3 ⋅3359.

It is a cyclic number.

It is not a de Polignac number, because 77001 - 2⁷ = 76873 is a prime.

It is a D-number.

77001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (77003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12831 + ... + 12836.

It is an arithmetic number, because the mean of its divisors is an integer number (25668).

2⁷⁷⁰⁰¹ is an apocalyptic number.

77001 is the 176-th centered pentagonal number.

It is an amenable number.

77001 is a deficient number, since it is larger than the sum of its proper divisors (25671).

77001 is a wasteful number, since it uses less digits than its factorization.

77001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25670.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 77001 is about 277.4905403793. The cubic root of 77001 is about 42.5433928201.

Adding to 77001 its reverse (10077), we get a palindrome (87078).

The spelling of 77001 in words is "seventy-seven thousand, one", and thus it is an iban number.