127563345 has 48 divisors (see below), whose sum is σ = 272143872. Its totient is φ = 53827200.

The previous prime is 127563343. The next prime is 127563347. The reversal of 127563345 is 543365721.

127563345 is a `hidden beast` number, since 12 + 7 + 5 + 633 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (127563343) and next prime (127563347).

It is not a de Polignac number, because 127563345 - 2¹ = 127563343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127563343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11481 + ... + 19670.

It is an arithmetic number, because the mean of its divisors is an integer number (5669664).

Almost surely, 2^127563345 is an apocalyptic number.

127563345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127563345 is an abundant number, since it is smaller than the sum of its proper divisors (144580527).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127563345 is a wasteful number, since it uses less digits than its factorization.

127563345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31182 (or 31179 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 127563345 is about 11294.3944060760. The cubic root of 127563345 is about 503.3946932880.

It can be divided in two parts, 1275 and 63345, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 127563345 in words is "one hundred twenty-seven million, five hundred sixty-three thousand, three hundred forty-five".