34777053 has 16 divisors (see below), whose sum is σ = 54552960. Its totient is φ = 21820608.

The previous prime is 34777051. The next prime is 34777069. The reversal of 34777053 is 35077743.

It is not a de Polignac number, because 34777053 - 2¹ = 34777051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34776999 and 34777017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34777051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37425 + ... + 38342.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 2^34777053 is an apocalyptic number.

It is an amenable number.

34777053 is a deficient number, since it is larger than the sum of its proper divisors (19775907).

34777053 is a wasteful number, since it uses less digits than its factorization.

34777053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75793 (or 75787 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 36.

The square root of 34777053 is about 5897.2072203714. The cubic root of 34777053 is about 326.4106039754.

The spelling of 34777053 in words is "thirty-four million, seven hundred seventy-seven thousand, fifty-three".