46777761 has 24 divisors (see below), whose sum is σ = 73297224. Its totient is φ = 28631040.

The previous prime is 46777751. The next prime is 46777769. The reversal of 46777761 is 16777764.

It can be written as a sum of positive squares in 4 ways, for example, as 1134225 + 45643536 = 1065^2 + 6756^2 .

It is not a de Polignac number, because 46777761 - 2⁶ = 46777697 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46777769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2545 + ... + 10001.

It is an arithmetic number, because the mean of its divisors is an integer number (3054051).

Almost surely, 2^46777761 is an apocalyptic number.

46777761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

46777761 is a deficient number, since it is larger than the sum of its proper divisors (26519463).

46777761 is a wasteful number, since it uses less digits than its factorization.

46777761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7521 (or 7518 counting only the distinct ones).

The product of its digits is 345744, while the sum is 45.

The square root of 46777761 is about 6839.4269496793. The cubic root of 46777761 is about 360.3128992565.

The spelling of 46777761 in words is "forty-six million, seven hundred seventy-seven thousand, seven hundred sixty-one".