42764985 has 12 divisors (see below), whose sum is σ = 74126052. Its totient is φ = 22807968.

The previous prime is 42764983. The next prime is 42764993. The reversal of 42764985 is 58946724.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7338681 + 35426304 = 2709^2 + 5952^2 .

It is not a de Polignac number, because 42764985 - 2¹ = 42764983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 950333 = 42764985 / (4 + 2 + 7 + 6 + 4 + 9 + 8 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42764985.

It is not an unprimeable number, because it can be changed into a prime (42764983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475122 + ... + 475211.

It is an arithmetic number, because the mean of its divisors is an integer number (6177171).

Almost surely, 2^42764985 is an apocalyptic number.

42764985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42764985 is a deficient number, since it is larger than the sum of its proper divisors (31361067).

42764985 is a wasteful number, since it uses less digits than its factorization.

42764985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950344 (or 950341 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 42764985 is about 6539.4942464995. The cubic root of 42764985 is about 349.7003830423.

It can be divided in two parts, 4276 and 4985, that added together give a cube (9261 = 21³).

The spelling of 42764985 in words is "forty-two million, seven hundred sixty-four thousand, nine hundred eighty-five".