77631047 has 16 divisors (see below), whose sum is σ = 85407840. Its totient is φ = 70129152.

The previous prime is 77631041. The next prime is 77631053. The reversal of 77631047 is 74013677.

It is an interprime number because it is at equal distance from previous prime (77631041) and next prime (77631053).

It is a cyclic number.

It is not a de Polignac number, because 77631047 - 2⁴ = 77631031 is a prime.

It is a super-3 number, since 3×77631047³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77630998 and 77631016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77631041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169643 + ... + 170099.

It is an arithmetic number, because the mean of its divisors is an integer number (5337990).

Almost surely, 2^77631047 is an apocalyptic number.

77631047 is a deficient number, since it is larger than the sum of its proper divisors (7776793).

77631047 is a wasteful number, since it uses less digits than its factorization.

77631047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722.

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 77631047 is about 8810.8482565528. The cubic root of 77631047 is about 426.5911235749.

The spelling of 77631047 in words is "seventy-seven million, six hundred thirty-one thousand, forty-seven".