772121 has 8 divisors (see below), whose sum is σ = 895104. Its totient is φ = 652320.

The previous prime is 772097. The next prime is 772127. The reversal of 772121 is 121277.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 772121 - 2¹⁴ = 755737 is a prime.

772121 is a modest number, since divided by 2121 gives 77 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 772093 and 772102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772121.

It is not an unprimeable number, because it can be changed into a prime (772127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (111888).

2⁷⁷²¹²¹ is an apocalyptic number.

It is an amenable number.

772121 is a deficient number, since it is larger than the sum of its proper divisors (122983).

772121 is a wasteful number, since it uses less digits than its factorization.

772121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591.

The product of its digits is 196, while the sum is 20.

The square root of 772121 is about 878.7041595440. The cubic root of 772121 is about 91.7406447806.

Adding to 772121 its reverse (121277), we get a palindrome (893398).

The spelling of 772121 in words is "seven hundred seventy-two thousand, one hundred twenty-one", and thus it is an iban number.