53777673 has 24 divisors (see below), whose sum is σ = 79115400. Its totient is φ = 35195904.

The previous prime is 53777663. The next prime is 53777677. The reversal of 53777673 is 37677735.

It can be written as a sum of positive squares in 4 ways, for example, as 6827769 + 46949904 = 2613^2 + 6852^2 .

It is not a de Polignac number, because 53777673 - 2¹⁰ = 53776649 is a prime.

It is a super-2 number, since 2×53777673² = 5784076226589858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53777677) 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 23 ways as a sum of consecutive naturals, for example, 199783 + ... + 200051.

It is an arithmetic number, because the mean of its divisors is an integer number (3296475).

Almost surely, 2^53777673 is an apocalyptic number.

It is an amenable number.

53777673 is a deficient number, since it is larger than the sum of its proper divisors (25337727).

53777673 is a wasteful number, since it uses less digits than its factorization.

53777673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

The product of its digits is 648270, while the sum is 45.

The square root of 53777673 is about 7333.3261893905. The cubic root of 53777673 is about 377.4568709407.

It can be divided in two parts, 537 and 77673, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 53777673 in words is "fifty-three million, seven hundred seventy-seven thousand, six hundred seventy-three".