61677771 has 32 divisors (see below), whose sum is σ = 87422976. Its totient is φ = 38640000.

The previous prime is 61677769. The next prime is 61677793. The reversal of 61677771 is 17777616.

61677771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61677771 - 2¹ = 61677769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61677701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610621 + ... + 610721.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 2^61677771 is an apocalyptic number.

61677771 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

61677771 is a deficient number, since it is larger than the sum of its proper divisors (25745205).

61677771 is a wasteful number, since it uses less digits than its factorization.

61677771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283.

The product of its digits is 86436, while the sum is 42.

The square root of 61677771 is about 7853.5196568163. The cubic root of 61677771 is about 395.1022989859.

It can be divided in two parts, 616 and 77771, that added together give a palindrome (78387).

The spelling of 61677771 in words is "sixty-one million, six hundred seventy-seven thousand, seven hundred seventy-one".